Diameter of Hypersphere given Surface Volume Calculator

✖The Surface Volume of Hypersphere is the volume of the surface of the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.ⓘ Surface Volume of Hypersphere [V_Surface]

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✖The Diameter of Hypersphere is twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.ⓘ Diameter of Hypersphere given Surface Volume [D]

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Formula

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Diameter of Hypersphere given Surface Volume

Formula

`"D" = (4*"V"_{"Surface"}/(pi^2))^(1/3)`

Example

`"10.04385m"=(4*"2500m³"/(pi^2))^(1/3)`

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Diameter of Hypersphere given Surface Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3)
D = (4*V_Surface/(pi^2))^(1/3)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Hypersphere - (Measured in Meter) - The Diameter of Hypersphere is twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.
Surface Volume of Hypersphere - (Measured in Cubic Meter) - The Surface Volume of Hypersphere is the volume of the surface of the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.

STEP 1: Convert Input(s) to Base Unit

Surface Volume of Hypersphere: 2500 Cubic Meter --> 2500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (4*V_Surface/(pi^2))^(1/3) --> (4*2500/(pi^2))^(1/3)

Evaluating ... ...

D = 10.0438469185249

STEP 3: Convert Result to Output's Unit

10.0438469185249 Meter --> No Conversion Required

FINAL ANSWER

10.0438469185249 ≈ 10.04385 Meter <-- Diameter of Hypersphere

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 3 Diameter of Hypersphere Calculators

Diameter of Hypersphere given Surface Volume

Go Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3)

Diameter of Hypersphere given Hypervolume

Go Diameter of Hypersphere = 2*((2*Hypervolume of Hypersphere)/pi^2)^(1/4)

Diameter of Hypersphere

Go Diameter of Hypersphere = 2*Radius of Hypersphere

Diameter of Hypersphere given Surface Volume Formula

Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3)
D = (4*V_Surface/(pi^2))^(1/3)

What is a Hypersphere?

Hypersphere is basically the sphere in 4th dimension. This is the expansion of circle (2D) and sphere (3D) into a fourth dimension of space. This doesn't exist in our three-dimensional world, but calculations regarding Hyperspheres can easily be done by extending the formulas of 3D sphere into 4D.

How to Calculate Diameter of Hypersphere given Surface Volume?

Diameter of Hypersphere given Surface Volume calculator uses Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3) to calculate the Diameter of Hypersphere, The Diameter of Hypersphere given Surface Volume formula is defined as twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D, calculated using surface volume of Hypersphere. Diameter of Hypersphere is denoted by D symbol.

How to calculate Diameter of Hypersphere given Surface Volume using this online calculator? To use this online calculator for Diameter of Hypersphere given Surface Volume, enter Surface Volume of Hypersphere (V_Surface) and hit the calculate button. Here is how the Diameter of Hypersphere given Surface Volume calculation can be explained with given input values -> 10.04385 = (4*2500/(pi^2))^(1/3).

FAQ

What is Diameter of Hypersphere given Surface Volume?

The Diameter of Hypersphere given Surface Volume formula is defined as twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D, calculated using surface volume of Hypersphere and is represented as D = (4*V_Surface/(pi^2))^(1/3) or Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3). The Surface Volume of Hypersphere is the volume of the surface of the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D.

How to calculate Diameter of Hypersphere given Surface Volume?

The Diameter of Hypersphere given Surface Volume formula is defined as twice the distance from the center to any point on the Hypersphere which is the 4D extension of sphere in 3D and circle in 2D, calculated using surface volume of Hypersphere is calculated using Diameter of Hypersphere = (4*Surface Volume of Hypersphere/(pi^2))^(1/3). To calculate Diameter of Hypersphere given Surface Volume, you need Surface Volume of Hypersphere (V_Surface). With our tool, you need to enter the respective value for Surface Volume of Hypersphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Hypersphere?

In this formula, Diameter of Hypersphere uses Surface Volume of Hypersphere. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Hypersphere = 2*Radius of Hypersphere
Diameter of Hypersphere = 2*((2*Hypervolume of Hypersphere)/pi^2)^(1/4)

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